基于平方和规划的非线性系统控制器设计

针对一类多项式非线性系统的控制器设计问题，基于平方和规划方法和Lyapunov定理，提出一种二次迭代的方法，完成最大吸引域下系统控制器的设计和系统Lyapunov函数的确定．该方法能够设计出多项式控制器，使系统具有良好的稳定性和动态特性．仿真结果验证了该方法的有效性．

Designing a Controller for Nonlinear Systems Based on Sum of Square Programming

The author presents an iterative method that can be used to design a controller for nonlinear polynomial systems, based on the sum of square programming and the Lyapunov theorem. With this method, a controller and a Lyapunov function of the nonlinear polynomial system can be achieved in the largest region-of-attraction simultaneously. Moreover, the designed polynomial controller can make the nonlinear polynomial system obtain a favorable stabilization and dynamic characteristic. In the end, a simulation example is given to verify the effectiveness of the proposed method.